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Finding the Fourth Proportional to 51,283.87, 76,776.83 and 29,871.29

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Solution

The fourth proportional to 51,283.87, 76,776.83 and 29,871.29 is: 44,720.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,283.87 : 76,776.83 = 29,871.29 : x
  2. Step 2: Convert to fraction form
    51,283.87/76,776.83 = 29,871.29/x
  3. Step 3: Cross multiply
    51,283.87x = 76,776.83 × 29,871.29
  4. Step 4: Simplify right side
    51,283.87x = 2,293,423,108.81
  5. Step 5: Solve for x
    x = 2,293,423,108.81/51,283.87
  6. Step 6: Final answer
    x = 44,720.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.